Let $m,n\in\mathbb N$, let $\Omega\subset\mathbb R^n$ be a nonempty bounded [open set](/page/Open%20Set), let $1\le p<\infty$, and let $f:\mathbb R^{m\times n}\to\mathbb R$ be continuous. Assume that there exists a constant $c>0$ such that
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\begin{align*}
f(A)\ge -c(1+|A|^p)
\end{align*}
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for every $A\in\mathbb R^{m\times n}$. Define the extended real functional
where the lower $p$-growth bound makes the integral well-defined as an element of $(-\infty,+\infty]$. If $I$ is sequentially weakly lower semicontinuous on $W^{1,p}(\Omega;\mathbb R^m)$, then $f$ is Morrey quasiconvex: for every $A\in\mathbb R^{m\times n}$ and every $\varphi\in W^{1,\infty}_0((0,1)^n;\mathbb R^m)$,